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3 years ago

I need help with completing the reasons for the proof. The first 3 statments are given.

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

Answer:Two-column, paragraph, and flowchart proofs are three of the most common geometric proofs. They each offer different ways of organizing reasons and statements so that each proof can be easily explained.

Step-by-step explanation:

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Why is 1/2 the same as 0.5

Basile [38]

Answer:

it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.

Step-by-step explanation:

5 0

2 years ago

What + 89= 9(6+5) please solve for my answer and explain how you got your answer

nlexa [21]

The answer would be 10.

6 + 5 = 11
11 x 9 = 99

This means 9(6+5) = 99

99 - 89 = 10

6 0

3 years ago

A baker uses 3/4 cup of honey in one of his cakes. There are 60 calories in 1/8 cup of honey. Drag one expression next to each q

Ivan

<h3>3/4÷1/8= 6</h3><h3>The baker used 6 times as much which 6*60=360 in calories</h3>

4 0

3 years ago

Triangle ABC measures are as follows; Angle A measures 30 degrees, angle B measures (3x-9) degrees and angle C measures 29 degre

ludmilkaskok [199]

Answer:

x = 43 1/3 degrees

Step-by-step explanation:

sum of interior angles in a triangle = 180 degrees

30 + (3x - 9) + 29 = 180

30 + 29 + (3x - 9) = 180

59 + (3x - 9) = 180

(3x - 9) = 180 - 59

(3x - 9) = 121

3x = 121 + 9

3x = 130

x = 43 1/3

8 0

3 years ago

I need help with completing the reasons for the proof. The first 3 statments are given. ​

I need help with completing the reasons for the proof. The first 3 statments are given.